Data approximation in twisted shift-invariant spaces

DOI10.1007/S43036-024-00336-7MaRDI QIDQ6646562

[[Person:6047172|Author name not available (Why is that?)]], [[Person:6047173|Author name not available (Why is that?)]]

Publication date: 2 December 2024

Published in: Advances in Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Gramian matrixWeyl transformParseval framesrange functiontwisted shift-invariant space

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) General harmonic expansions, frames (42C15) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by other special function classes (41A30)

Cites Work

• Subspaces with extra invariance nearest to observed data
• Frames and Riesz bases of twisted shift-invariant spaces in \(L^2(\mathbb{R}^{2 n})\)
• Weyl transforms
• Harmonic analysis on the Heisenberg group
• Foundations of time-frequency analysis
• Principal shift-invariant spaces with extra invariance nearest to observed data
• Data approximation with time-frequency invariant systems
• Time-frequency analysis of operators
• Approximation by group invariant subspaces
• Optimal shift invariant spaces and their Parseval frame generators
• Harmonic Analysis in Phase Space. (AM-122)
• An introduction to frames and Riesz bases

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